Atkin-Lehner |
7+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11039a |
Isogeny class |
Conductor |
11039 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1944 |
Modular degree for the optimal curve |
Δ |
77273 = 72 · 19 · 83 |
Discriminant |
Eigenvalues |
1 0 4 7+ -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35,88] |
[a1,a2,a3,a4,a6] |
j |
4818245769/77273 |
j-invariant |
L |
1.7219956112422 |
L(r)(E,1)/r! |
Ω |
3.4439912224844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99351d1 77273a1 |
Quadratic twists by: -3 -7 |